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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2407.12598 |
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| _version_ | 1866929424589389824 |
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| author | Komatsu, Mizuka |
| author_facet | Komatsu, Mizuka |
| contents | In this study, we considered the problem of estimating epidemiological parameters based on physics-informed neural networks (PINNs). In practice, not all trajectory data corresponding to the population estimated by epidemic models can be obtained, and some observed trajectories are noisy. Learning PINNs to estimate unknown epidemiological parameters using such partial observations is challenging. Accordingly, we introduce the concept of algebraic observability into PINNs. The validity of the proposed PINN, named as an algebraically observable PINNs, in terms of estimation parameters and prediction of unobserved variables, is demonstrated through numerical experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimate Epidemiological Parameters given Partial Observations based on Algebraically Observable PINNs Komatsu, Mizuka Machine Learning Dynamical Systems Populations and Evolution 93B25, 92B20 In this study, we considered the problem of estimating epidemiological parameters based on physics-informed neural networks (PINNs). In practice, not all trajectory data corresponding to the population estimated by epidemic models can be obtained, and some observed trajectories are noisy. Learning PINNs to estimate unknown epidemiological parameters using such partial observations is challenging. Accordingly, we introduce the concept of algebraic observability into PINNs. The validity of the proposed PINN, named as an algebraically observable PINNs, in terms of estimation parameters and prediction of unobserved variables, is demonstrated through numerical experiments. |
| title | Estimate Epidemiological Parameters given Partial Observations based on Algebraically Observable PINNs |
| topic | Machine Learning Dynamical Systems Populations and Evolution 93B25, 92B20 |
| url | https://arxiv.org/abs/2407.12598 |